A construction of quotient A_infinity-categories

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dc.creatorLyubashenko, Volodymyr
dc.creatorOvsienko, Sergiy
dc.date2002-11-03
dc.date2008-02-15
dc.date.accessioned2026-07-07T09:20:49Z
dc.date.available2026-07-07T09:20:49Z
dc.descriptionWe construct an A_infinity-category D(C|B) from a given A_infinity-category C and its full subcategory B. The construction is similar to a particular case of Drinfeld's quotient of differential graded categories. We use D(C|B) to construct an A_infinity-functor of K-injective resolutions of a complex. The conventional derived category is obtained as the 0-th cohomology of the quotient of differential graded category of complexes over acyclic complexes.
dc.description49 pages, LaTeX, uses Paul Taylor's diagrams.tex. Close to published version
dc.identifierhttps://arxiv.org/abs/math/0211037
dc.identifierhttp://arxiv.org/abs/math/0211037
dc.identifierHomology, Homotopy and Applications 8 (2006) n. 2, 157-203
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154846
dc.subjectCategory Theory
dc.subjectK-Theory and Homology
dc.subjectQuantum Algebra
dc.titleA construction of quotient A_infinity-categories
dc.typetext

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